Question

9. Write The eQuaTION OF THE LINE THAT Passes THROUGH THE

Answer 1

The final equation of line that passes through (9, 0) AND (0, -6) is:

$y=\frac{2}{3}x-6$

Further explanation:

The general form of equation of line is:

$y=mx+b$

Given

(x1,y1) = (9,0)

(x2,y2) = (0, -6)

We have to find the slope first:

$m=\frac{y_2-y_1}{x_2-x_1}\\= \frac{-6-0}{0-9}\\=\frac{-6}{-9}\\=\frac{2}{3}$

Putting the value of slope in general form

$y=\frac{2}{3}x+b$

To find the value of b, we have to put a point in the equation

Putting (9,0) in equation

$0=\frac{2}{3}(9)+b\\0=2*3+b\\0=6+b\\b=-6$

Putting the values of b and m in general form

The final equation of line that passes through (9, 0) AND (0, -6) is:

$y=\frac{2}{3}x-6$

Keywords: Equation of line, Pount-slope form

Learn more about point-slope form at:

• brainly.com/question/11207748
• brainly.com/question/11280112

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